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14 Cards in this Set

  • Front
  • Back

Limaçon with inner loop

r = a +- b cos theta


a/b < 1

Cardioid

r = a +- b cos theta


a/b = 1

Dimpled limaçon

r = a +- b cos theta


1 < a/b < 2


(dimple does not hit pole)

Convex limaçon

r = a +- b cos theta


a/b ≥2


Rose curve

r = a cos b theta

Circle (not centered at origin)

r = a sin theta


r = a cos theta


Lemniscate

r^2 = a^2 sin 2 theta


r^2 = a^2 cos 2 theta

line

r = a/ (cos theta)


r = a/ (sin theta)

Ellipse

r = k / (a + b cos theta)


b/a < 1

Hyperbola

r = k / (a + b cos theta)


b/a > 1

Parabola

r = k / (a + b cos theta)


b/a = 1

Eccentricity of conics

b/a

x on polar plane

r cos theta

y on polar plane

r sin theta